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Principles of Biophotonics, Volume 1

Linear systems and the Fourier transform in optics
Gabriel Popescu


Principles of Biophotonics: Linear systems and the Fourier transform in optics aims to teach students, instructors and professionals the basis of optical techniques for biomedical investigation. It is a book for experimentalists who are active at the interface between biology, medicine and optics (i.e. biological optics, biomedical optics and biophotonics), and it presents the unifying optics principles employed in this broad and interdisciplinary field. With the format of a classical textbook, this work contains the underlying theory of biological optics and applications to real laboratory problems via exercises and homework. While maintaining mathematical rigor, the theory is presented with emphasis on the physical phenomena, and heavy use of the linear systems approach and frequency domain representation. The text stresses the similarity between various techniques, thus reducing the number of governing concepts as much as possible.

About Editors

Gabriel Popescu received his PhD in optics from CREOL, The College of Optics and Photonics at the University of Central Florida, in 2002. He is currently a professor of electrical and computer engineering at the University of Illinois at Urbana–Champaign, where he directs the Quantitative Light Imaging Laboratory at the Beckman Institute for Advanced Science and Technology. 

Table of Contents

1. Superposition principle 2. Linear Systems 3. Spatial and temporal frequencies 4. 1D Fourier transform 5. 2D Fourier transform 6. 3D Fourier transform 7. Complex signals 8. The uncertainty relation 9. Linear systems with random inputs 10. Fourier transform of vector-valued functions 11. The Laplace transform Appendix A. Complex variables Appendix B. Vector algebra Appendix C. Useful trigonometric formulas Appendix D. Useful integrals


Hardback ISBN: 9780750316392

Ebook ISBN: 9780750316415

DOI: 10.1088/2053-2563/aae121

Publisher: Institute of Physics Publishing

Series: IPEM-IOP Series in Physics and Engineering in Medicine and Biology


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